In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f-MK-pair mappings and f-CJM-pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfies a contractive condition of Meir–Keeler type. These results extend and generalize some recent results from the literature. To conclude the paper, we extend our main result to non-regular cone metric spaces by using the scalarization method of Du.

Di Bari, C., Saadati, R., Vetro, P. (2011). Common fixed points in cone metric spaces for CJM-pairs. MATHEMATICAL AND COMPUTER MODELLING, 54(9-10), 2348-2354 [10.1016/j.mcm.2011.05.043].

Common fixed points in cone metric spaces for CJM-pairs

DI BARI, Cristina;VETRO, Pasquale
2011-01-01

Abstract

In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f-MK-pair mappings and f-CJM-pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfies a contractive condition of Meir–Keeler type. These results extend and generalize some recent results from the literature. To conclude the paper, we extend our main result to non-regular cone metric spaces by using the scalarization method of Du.
Settore MAT/05 - Analisi Matematica
Di Bari, C., Saadati, R., Vetro, P. (2011). Common fixed points in cone metric spaces for CJM-pairs. MATHEMATICAL AND COMPUTER MODELLING, 54(9-10), 2348-2354 [10.1016/j.mcm.2011.05.043].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/60439
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